I have the cooler - I was planning on bringing it to the tailgate. The grill will get plenty hot - I have the regulators set so that the burners are always running on low. We'll just need to be mindful of any grease, and that it doesn't spill into the grill.

Cool, the griddle has a two inch lip on it so everything stays contained, but if you think it might still be a problem I can bring a burner and propane bottle.